Statistical theory of subcritically-excited strong turbulence in inhomogeneous plasmas. I

被引:25
作者
Itoh, SI [1 ]
Itoh, K
机构
[1] Max Planck Inst Plasmaphys, D-85740 Munich, Germany
[2] Kyushu Univ, Appl Mech Res Inst, Kasuga, Fukuoka 8168580, Japan
[3] Natl Inst Fus Sci, Toki 5095292, Japan
关键词
plasma turbulence; submarginal turbulence; Langevin equation; fluctuation-dissipation theorem; strong turbulence; interchange mode Fokker-Planck equation;
D O I
10.1143/JPSJ.68.1891
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A statistical description is developed for a self-sustained subcritical turbulence in inhomogeneous plasmas. Interchange mode in the presence of inhomogeneous magnetic field, which reveals a submarginal strong turbulence, is considered. Nonlinear dispersion relation is extended to a Langevin equation for a dressed test mode, in which nonlinear interactions are kept as renormalized drag and random self noise. Based upon the assumption that the random noise has a faster time scale, the solutions are obtained for the fluctuation level, decorrelation rate, auto- and cross-correlation functions and spectrum. They are expressed as nonlinear functions of non-equilibrium parameters like gradient. Extended fluctuation-dissipation theorem (Einstein relation) is described as statistical relations. Then the Langevin equation is reformulated into a Fokker-Planck equation of the probability distribution function. The steady state probability function is solved. Imposing the constraint of the self-noise: the power-law distribution with respect to the fluctuation amplitude is obtained in the tail of the distribution function.
引用
收藏
页码:1891 / 1906
页数:16
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